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Finding the Third Proportional to 55,147.50 and 120,795.75

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Solution

The third proportional to 55,147.50 and 120,795.75 is: 264,592.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,147.50 : 120,795.75 = 120,795.75 : x
  2. Step 2: Convert to fraction form
    55,147.50/120,795.75 = 120,795.75/x
  3. Step 3: Cross multiply
    55,147.50x = 120,795.75 × 120,795.75
  4. Step 4: Simplify right side
    55,147.50x = 14,591,613,218.06
  5. Step 5: Solve for x
    x = 14,591,613,218.06/55,147.50
  6. Step 6: Final answer
    x = 264,592.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.